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Finding the Third Proportional to 675.84 and 1,457.16

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Solution

The third proportional to 675.84 and 1,457.16 is: 3,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.84 : 1,457.16 = 1,457.16 : x
  2. Step 2: Convert to fraction form
    675.84/1,457.16 = 1,457.16/x
  3. Step 3: Cross multiply
    675.84x = 1,457.16 × 1,457.16
  4. Step 4: Simplify right side
    675.84x = 2,123,304.34
  5. Step 5: Solve for x
    x = 2,123,304.34/675.84
  6. Step 6: Final answer
    x = 3,141.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.